TY - JOUR
T1 - TBA, NLO Lüscher correction, and double wrapping in twisted AdS/CFT
AU - Ahn, Changrim
AU - Bajnok, Zoltan
AU - Bombardelli, Diego
AU - Nepomechie, Rafael I.
PY - 2011
Y1 - 2011
N2 - The ground-state energy of integrably-twisted theories is analyzed in finite volume. We derive the leading and next-to-leading order (NLO) Lüscher-type corrections for large volumes of the vacuum energy for integrable theories with twisted boundary conditions and twisted S-matrix. We then derive the twisted thermodynamic Bethe ansatz (TBA) equations to describe exactly the ground state, from which we obtain an untwisted Y-system. The two approaches are compared by expanding the TBA equations to NLO, and exact agreement is found. We give explicit results for the O(4) model and for the γ-deformed (non-supersymmetric) planar AdS/CFT model, where the groundstate energy can be nontrivial and can acquire finite-size corrections. The NLO corrections, which correspond to double-wrapping diagrams, are explicitly evaluated for the latter model at six loops.
AB - The ground-state energy of integrably-twisted theories is analyzed in finite volume. We derive the leading and next-to-leading order (NLO) Lüscher-type corrections for large volumes of the vacuum energy for integrable theories with twisted boundary conditions and twisted S-matrix. We then derive the twisted thermodynamic Bethe ansatz (TBA) equations to describe exactly the ground state, from which we obtain an untwisted Y-system. The two approaches are compared by expanding the TBA equations to NLO, and exact agreement is found. We give explicit results for the O(4) model and for the γ-deformed (non-supersymmetric) planar AdS/CFT model, where the groundstate energy can be nontrivial and can acquire finite-size corrections. The NLO corrections, which correspond to double-wrapping diagrams, are explicitly evaluated for the latter model at six loops.
KW - AdS-CFT correspondence
KW - Exact S-Matrix
KW - Integrable Field Theories
UR - http://www.scopus.com/inward/record.url?scp=84255161614&partnerID=8YFLogxK
U2 - 10.1007/JHEP12(2011)059
DO - 10.1007/JHEP12(2011)059
M3 - Article
AN - SCOPUS:84255161614
SN - 1126-6708
VL - 2011
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 12
M1 - 059
ER -